The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations.

In this paper, we extend the generalized product-type bi-conjugate gradient (GPBiCG) method for solving the generalized Sylvester-conjugate matrix equations A 1 X B 1 + C 1 Y ¯ D 1 = S 1 , A 2 X ¯ B 2 + C 2 Y D 2 = S 2 by the real representation of the complex matrix and the properties of Kronecker product and vectorization operator. Some numerical experiments demonstrate that the introduced iteration approach is efficient. [ABSTRACT FROM AUTHOR]